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Logistic versus linear regression-based reliable change index: A simulation study with implications for clinical

Rafael De Andrade Moral1, Unai Díaz-Orueta2, Javier Oltra-Cucarella3

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Summary

The logistic reliable change index (RCI) is more accurate for detecting memory impairments than the linear RCI. The linear RCI becomes reliable with sample sizes of 200 or more.

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Area of Science:

  • Neuroscience
  • Psychology
  • Biostatistics

Background:

  • The reliable change index (RCI) is crucial for assessing memory changes over time.
  • Determining the minimum sample size for reliable RCI estimates is essential but previously unspecified.

Purpose of the Study:

  • To determine the minimum sample size for reliable linear regression-based reliable change index (RCI) estimates.
  • To compare the accuracy of linear RCI with a logistic RCI for discrete, bounded scores.

Main Methods:

  • Simulated 12,000 datasets with sample sizes ranging from 10 to 1,000, using Alzheimer's Disease Neuroimaging Initiative data.
  • Analyzed estimate significance, coverage rates, and model accuracy (true-positive/true-negative rates).
  • Compared linear RCI against a logistic RCI for discrete scores.

Main Results:

  • The logistic RCI demonstrated higher overall accuracy compared to the linear RCI.
  • Linear RCI estimates approached the accuracy of the logistic RCI with sample sizes of 200 or greater.
  • Provided an R package for computing the logistic RCI and code for result reproduction.

Conclusions:

  • The logistic RCI is recommended for improved accuracy in detecting memory impairments.
  • Researchers should consider sample size when utilizing the linear RCI for longitudinal memory assessments.